Which of the following represents schrodinger equations
- $\left(\frac{\partial^{2}}{\partial \mathrm{x}^{2}}+\frac{\partial^{2}}{\partial \mathrm{y}^{2}}+\frac{\partial^{2}}{\partial \mathrm{z}^{2}}ight) \Psi+\frac{8 \pi^{2} \mathrm{~m}}{\mathrm{~h}^{2}}[\mathrm{E}-\mathrm{V}] \Psi=0$
- $\hat{H} \Psi=E \Psi$
- $(\hat{T}+\hat{V}) \Psi=E \Psi$
- All of them
Solution
$\left(\frac{\partial^{2}}{\partial \mathrm{x}^{2}}+\frac{\partial^{2}}{\partial \mathrm{y}^{2}}+\frac{\partial^{2}}{\partial \mathrm{z}^{2}}ight) \Psi+\frac{8 \pi^{2} \mathrm{~m}}{\mathrm{~h}^{2}}[\mathrm{E}-\mathrm{V}] \Psi=0$
$\hat{\mathrm{H}} \Psi=\mathrm{E} \Psi$
$(\hat{\mathrm{T}}+\hat{\mathrm{V}}) \Psi=\mathrm{E} \Psi$
The Schrodinger equation is a partial differential equation that describes the dynamics of quantum mechanical systems via the wave function. The trajectory, the positioning, and the energy of these systems can be retrieved by solving the Schrodinger equation. ,
Asked in: JEE-TOPICTESTS-CHEMISTRY